Generalization of Integral Inequalities for Product of Convex Functions

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M. A. Latif, Generalization of Integral Inequalities for Product of Convex Functions, Int. J. Anal. Appl., 5 (2) (2014), 185-190.

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M. A. Latif

Abstract

In this paper, generalizations of some inequalities for product of convex functions are given.

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References

  1. J.L.W.V. Jensen, On Konvexe Funktioner og Uligheder mellem Middlvaerdier, Nyt. Tidsskr. Math. B., 16 (1905), 49-69.
  2. B.G. Pachpatte, On some inequalities for convex functions, RGMIA Research Report Collection, 6(E) (2003), [ONLINE: http://rgmia.vu.edu.au/v6(E).html].
  3. G. Cristescu, Improved integral inequalities for product of convex functions, Journal of Inequalities in Pure and Applied Mathematics, 6(2005), Issue 2, Article 35.
  4. G. Cristescu and L. Lup ¸sa, Non-Connected Convexities and Applications, Kluwer Academic Publishers, Dordrecht / Boston / London, 2002.
  5. Y. J. Cho, M. Matic, J. Pecaric, Two mappings in connections to Jensen's inequality, Panamerican Mathematical Journal, 12(2002), Number 1, 43-50.
  6. S.S. Dragomir and C.E.M. Pearce, Selected Topics on Hermite-Hadamard Inequalities and Applications, RGMIA Monographs, Victoria University, 2000. [ONLINE: http://rgmia.vu.edu.au/monographs/]
  7. J. Hadamard, Etude sur les propri ´et ´es des fonctions enti`eres et en particulier d'une fonction ´ consider ´ee par Riemann, J. Math Pures Appl., 58 (1893), 171-215.
  8. D.S. Mitrinivi ´c, Analytic Inequalities, Springer Verlag, Berlin/New York, 1970.
  9. R. Webster, Convexity, Oxford University Press, Oxford - New York - Tokyo, 1994.